SPIN-POLARIZED FERMIONS IN AN AHARONOV-BOHM FIELDстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The quantum-mechanical treatment of a fermion motion in an infinitely thin magnetic
flux is given physically rigorous for a Dirac Hamiltonian with an Aharonov–Bohm po-
tential in (2 + 1) dimensions. The Dirac Hamiltonian contains a parameter s, which
can be applied to characterize two states of the fermion spin. The Hamiltonian on this
background requires additional specification of a one-parameter self-adjoint extension,
which can be given in terms of physically acceptable boundary conditions. It is shown
that for some values of the parameter that labels the extensions there exists a bound
state. Expressions for the scattering amplitudes and cross-sections are obtained and dis-
cussed for different values of the extension parameter. The scattering of spin-polarized
electrons off a thin solenoid are studied in the plane perpendicular to the solenoid axis
for three spatial dimensions. The scattering amplitudes and cross-sections for quantum
transitions of spin-polarized electrons are determined and discussed.